226639296 has 336 divisors, whose sum is σ = 776630400. Its totient is φ = 64945152.

The previous prime is 226639279. The next prime is 226639307. The reversal of 226639296 is 692936622.

It is a happy number.

226639296 is a `hidden beast` number, since 2 + 2 + 6 + 639 + 2 + 9 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (419904) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3841315 + ... + 3841373.

It is an arithmetic number, because the mean of its divisors is an integer number (2311400).

Almost surely, 2^226639296 is an apocalyptic number.

226639296 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226639296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388315200).

226639296 is an abundant number, since it is smaller than the sum of its proper divisors (549991104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

226639296 is a wasteful number, since it uses less digits than its factorization.

226639296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 96 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 226639296 is about 15054.5440316205. The cubic root of 226639296 is about 609.6937421714.

The spelling of 226639296 in words is "two hundred twenty-six million, six hundred thirty-nine thousand, two hundred ninety-six".